{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_sampling:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sampling"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the beginning, initial points need to be sampled. *pymoo* offers different sampling methods depending on the variable type."
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_sampling_random:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Random Sampling ('real_random', 'int_random', 'bin_random')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 372
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymoo.factory import get_sampling\n",
    "from pymoo.util import plotting\n",
    "from pymoo.interface import sample\n",
    "\n",
    "sampling = get_sampling('real_random')\n",
    "\n",
    "X = sample(sampling, 100, 2)\n",
    "plotting.plot(X, no_fill=True)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_sampling_lhs:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Latin Hypercube Sampling ('real_lhs')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 372
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymoo.factory import get_sampling\n",
    "from pymoo.util import plotting\n",
    "from pymoo.interface import sample\n",
    "\n",
    "sampling = get_sampling('real_lhs')\n",
    "\n",
    "X = sample(sampling, 100, 2)\n",
    "plotting.plot(X, no_fill=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### API"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. autofunction:: pymoo.factory.get_sampling\n",
    "    :noindex:\n",
    "\n",
    ".. autofunction:: pymoo.model.sampling.Sampling\n",
    "    :noindex:"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Raw Cell Format",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
